Bär, Christian
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자료유형 | E-BOOK |
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서명/저자사항 | Elementary differential geometry [electronic resource]/ Christian Bär. |
개인저자 | Bär, Christian. |
발행사항 | New York: Cambridge University Press, c2010. |
형태사항 | 1 online resource (xii, 317 p.): ill. |
기타형태 저록 | Print version: Bär, Christian. Elementary differential geometry. New York : Cambridge University Press, c2010 9780521896719 |
ISBN | 9780511729775 (electronic bk.) 0511729774 (electronic bk.) |
일반주기 |
Description based on print version record.
|
서지주기 | Includes bibliographical references and index. |
내용주기 | Machine generated contents note: Preface; Notation; 1. Euclidean geometry; 2. Curve theory; 3. Classical surface theory; 4. The inner geometry of surfaces; 5. Geometry and analysis; 6. Geometry and topology; 7. Hints for solutions to (most) exercises; Formulary; List of symbols; References; Index. |
요약 | "The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss-Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra"--Provided by publisher. |
일반주제명 | Geometry, Differential --Textbooks. |
언어 | 영어 |
바로가기 | URL |
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